Degree One Maps Between Geometric 3-Manifolds

DOI10.2307/2154039zbMath0758.57016OpenAlexW3023297388MaRDI QIDQ4018443

Yongwu Rong

Publication date: 16 January 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154039

zbMATH Keywords

homotopy equivalencesGromov normvolume functionSeifert fiberedclosed orientable 3-manifoldHaken 3-manifoldtorus decomposition3-manifolds with boundaryhyperbolic 3- manifoldshopficity of Fuchsian groupsinfinite sequence of degree one maps

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Degree, winding number (55M25)

Related Items (17)

Any 3-manifold 1-dominates at most finitely many 3-manifolds of 𝑆³-geometry ⋮ Degree one maps of Seifert manifolds and a note on Seifert volume ⋮ Counting homotopy classes of mappings via Dijkgraaf-Witten invariants ⋮ Invariant character varieties of hyperbolic knots with symmetries ⋮ A rigidity theorem for Haken manifolds ⋮ Self-mapping degrees of 3-manifolds ⋮ Volume-convergent sequences of Haken 3-manifolds. ⋮ Degree-one maps between hyperbolic 3-manifolds with the same volume limit ⋮ Geometric structures, Gromov norm and Kodaira dimensions ⋮ Ordering Thurston’s geometries by maps of nonzero degree ⋮ Homomorphisms of nonzero degree betweenPD_n-groups ⋮ Epimorphism sequences between hyperbolic 3-manifold groups ⋮ A criterion for homeomorphism between closed Haken manifolds ⋮ Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume ⋮ Nonzero degree maps between closed orientable three-manifolds ⋮ Generalized Hopfian property, a minimal Haken manifold, and epimorphisms between 3-manifold groups ⋮ The \(\pi_ 1\)-injectivity of self-maps of nonzero degree on 3-manifolds

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